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Simplifying 4x + 19 = -3(x + -6) + -1(-7x + 5) Reorder the terms: 19 + 4x = -3(x + -6) + -1(-7x + 5) Reorder the terms: 19 + 4x = -3(-6 + x) + -1(-7x + 5) 19 + 4x = (-6 * -3 + x * -3) + -1(-7x + 5) 19 + 4x = (18 + -3x) + -1(-7x + 5) Reorder the terms: 19 + 4x = 18 + -3x + -1(5 + -7x) 19 + 4x = 18 + -3x + (5 * -1 + -7x * -1) 19 + 4x = 18 + -3x + (-5 + 7x) Reorder the terms: 19 + 4x = 18 + -5 + -3x + 7x Combine like terms: 18 + -5 = 13 19 + 4x = 13 + -3x + 7x Combine like terms: -3x + 7x = 4x 19 + 4x = 13 + 4x Add '-4x' to each side of the equation. 19 + 4x + -4x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + 0 = 13 + 4x + -4x 19 = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 19 = 13 + 0 19 = 13 Solving 19 = 13 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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